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132000090 = 235371091091
BaseRepresentation
bin1111101111000…
…10100101011010
3100012101022002020
413313202211122
5232243000330
621033115310
73161660625
oct767424532
9305338066
10132000090
1168568692
1238258b36
1321468c81
1413760dbc
15b8c6210
hex7de295a

132000090 has 64 divisors (see below), whose sum is σ = 328648320. Its totient is φ = 33903360.

The previous prime is 132000079. The next prime is 132000091. The reversal of 132000090 is 90000231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132000091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120445 + ... + 121535.

It is an arithmetic number, because the mean of its divisors is an integer number (5135130).

Almost surely, 2132000090 is an apocalyptic number.

132000090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132000090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164324160).

132000090 is an abundant number, since it is smaller than the sum of its proper divisors (196648230).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132000090 is a wasteful number, since it uses less digits than its factorization.

132000090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 132000090 is about 11489.1292098226. The cubic root of 132000090 is about 509.1644526851.

The spelling of 132000090 in words is "one hundred thirty-two million, ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 37 74 109 111 185 218 222 327 370 545 555 654 1090 1091 1110 1635 2182 3270 3273 4033 5455 6546 8066 10910 12099 16365 20165 24198 32730 40330 40367 60495 80734 118919 120990 121101 201835 237838 242202 356757 403670 594595 605505 713514 1189190 1211010 1783785 3567570 4400003 8800006 13200009 22000015 26400018 44000030 66000045 132000090